2667418560 has 448 divisors, whose sum is σ = 10159349760. Its totient is φ = 656916480.

The previous prime is 2667418547. The next prime is 2667418561. The reversal of 2667418560 is 658147662.

2667418560 is a `hidden beast` number, since 2 + 6 + 6 + 74 + 18 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667418561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6160104 + ... + 6160536.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 2^2667418560 is an apocalyptic number.

2667418560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079674880).

2667418560 is an abundant number, since it is smaller than the sum of its proper divisors (7491931200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2667418560 is a wasteful number, since it uses less digits than its factorization.

2667418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2667418560 is about 51647.0576122203. The cubic root of 2667418560 is about 1386.8528698835.

The spelling of 2667418560 in words is "two billion, six hundred sixty-seven million, four hundred eighteen thousand, five hundred sixty".